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For Problem 1, some are asking about what I mean by "Falling object". I 
mean that the object is only moving in the vertical direction and that 
the only forces are gravity and drag. It may actually start by moving 
up, in spite of the word "falling."

Note that the characteristic velocity scales and the characteristic 
time scale are all given explicitly in the lecture notes near Eq. 16. 
You should identify where these scales appear in your solution.

For part (c), although it is in fact a differential equation, you 
should simply apply the Fundamental Theorem of Calculus. There isn't 
really any work in solving the differential equation other than 
integration.


D. Brian Walton
AMath 383 Instructor
Guggenheim 408C
(206) 685-9298